The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50, with a standard deviation of $500. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions (a) What is the likelihood the sample mean is at least $25.00 decimal places and final answer to 4 decimal places.) Round z value to 2 Probability What is the likelihood the sample mean is greater than $2250 but less than $25.00% Round z value to 2 decimal places and final answer to 4 decimal places.) Probability wthin what limits will 90% of the sample means occur? Round your answers 10 2 The limits are and